A curious differential calculus on the quantum disc and cones
Tomasz Brzezi\'nski, Ludwik D\k{a}browski
TL;DR
This paper develops a new differential calculus framework for the quantum disc and cones, including the calculation of the associated integral, advancing non-commutative geometry methods.
Contribution
It introduces a novel differential calculus on quantum geometric structures and computes the related integral, expanding the toolkit for quantum geometry analysis.
Findings
Successfully constructed a non-classical differential calculus on quantum disc and cones.
Calculated the associated integral explicitly.
Provides new tools for quantum geometric analysis.
Abstract
A non-classical differential calculus on the quantum disc and cones is constructed and the associated integral is calculated.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic and Geometric Analysis